8259840000 has 480 divisors, whose sum is σ = 30702672000. Its totient is φ = 2193408000.

The previous prime is 8259839957. The next prime is 8259840047. The reversal of 8259840000 is 489528.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34559881 + ... + 34560119.

It is an arithmetic number, because the mean of its divisors is an integer number (63963900).

Almost surely, 2^8259840000 is an apocalyptic number.

8259840000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8259840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15351336000).

8259840000 is an abundant number, since it is smaller than the sum of its proper divisors (22442832000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8259840000 is an equidigital number, since it uses as much as digits as its factorization.

8259840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8259840000 is about 90883.6618980551. The cubic root of 8259840000 is about 2021.4230406616.

The spelling of 8259840000 in words is "eight billion, two hundred fifty-nine million, eight hundred forty thousand".